Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 525 and 1260.

**Answer**

$525=(3)({5}^{2})(7)$

$1260=({2}^{2})({3}^{2})(5)(7)$

The LCM of 525 and 1260 is the product of the largest powers of each prime factor in both.

Thus the LCM of 525 and 1260

$=({2}^{2})({3}^{2})({5}^{2})(7)$

$=6300$